Carlos Zuppa (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this paper, the Babuška’s theory of Lagrange multipliers is extended to higher order elliptic Dirichlet problems. The resulting variational formulation provides an efficient numerical squeme in meshless methods for the approximation of elliptic problems with essential boundary conditions.
J. Pitkäranta (1979)
Numerische Mathematik
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Tiantian Qiao, Weiguo Li, Kai Liu, Boying Wu (2014)
Annales Polonici Mathematici
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The Dirichlet boundary value problem for systems of elliptic partial differential equations at resonance is studied. The existence of a unique generalized solution is proved using a new min-max principle and a global inversion theorem.
Albino Canfora (1989)
Czechoslovak Mathematical Journal
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Z.Q. Chen, R.J. Williams, Z. Zhao (1994)
Mathematische Annalen
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Chuandi Liu, Hiroaki Morimoto (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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We study the Dirichlet problem for degenerate elliptic equations, and show that the probabilistic solution is a unique viscosity solution.
Peter Hess, Bernhard Ruf (1978/79)
Mathematische Zeitschrift
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Michael Meier (1983)
Manuscripta mathematica
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Flavia Giannetti
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W. Evans, D. Harris, R. Kauffmann (1990)
Mathematische Zeitschrift
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